TY - GEN UR - http://lib.ugent.be/catalog/pug01:910157 ID - pug01:910157 LA - eng TI - Finite-dimensional solutions of coupled harmonic oscillator quantum systems PY - 2009 PB - Exeter AU - Lievens, Stijn AU - Stoilova, Nedialka AU - Van der Jeugt, Joris WE02 801000490010 0000-0003-1387-1676 AU - Birman, Joseph L editor AU - Catto, Sultan editor AU - Nicolescu, Bogdan editor AB - This paper describes a quantum system consisting of a one-dimensional chain of M identical harmonic oscillators coupled by means of springs. We approach this as a Wigner Quantum System, not imposing the canonical commutation relations, but using instead weaker relations following from the compatibility of Hamilton's equations and the Heisenberg equations. We show that a class of solutions can be obtained using generators of the Lie superalgebra gl(1|M), and study the properties and spectra of the physical operators in a class of unitary representations of gl(1|M). ER -Download RIS file
00000nam^a2200301^i^4500 | |||
001 | 910157 | ||
005 | 20170921113632.0 | ||
008 | 100322s2009------------------------eng-- | ||
024 | a 1854/LU-910157 2 handle | ||
040 | a UGent | ||
245 | a Finite-dimensional solutions of coupled harmonic oscillator quantum systems | ||
260 | a Exeter, UK b Canopus Publishing Limited c 2009 | ||
520 | a This paper describes a quantum system consisting of a one-dimensional chain of M identical harmonic oscillators coupled by means of springs. We approach this as a Wigner Quantum System, not imposing the canonical commutation relations, but using instead weaker relations following from the compatibility of Hamilton's equations and the Heisenberg equations. We show that a class of solutions can be obtained using generators of the Lie superalgebra gl(1|M), and study the properties and spectra of the physical operators in a class of unitary representations of gl(1|M). | ||
598 | a C1 | ||
100 | a Lievens, Stijn | ||
700 | a Stoilova, Nedialka u WE02 0 801001655424 | ||
700 | a Van der Jeugt, Joris u WE02 0 801000490010 0 0000-0003-1387-1676 | ||
700 | a Birman, Joseph L e editor | ||
700 | a Catto, Sultan e editor | ||
700 | a Nicolescu, Bogdan e editor | ||
650 | a Mathematics and Statistics | ||
653 | a Lie superalgebras | ||
653 | a representation theory | ||
653 | a Wigner quantization | ||
773 | t 26th International symposium on Group Theoretical Methods in Physics g Group Theoretical Methods in Physics : proceedings of the 26th international symposium. 2009. Canopus Publishing Limited. p.363-367 q :<363 | ||
856 | 3 Full Text u https://biblio.ugent.be/publication/910157/file/910164 z [ugent] y CONFDOC-vanderjeugt.pdf | ||
920 | a confcontrib | ||
852 | x WE b WE02 | ||
922 | a UGENT-WE |
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